From a list of 500 nanus and addresses a simple random sample of 100 names is se

Question

From a list of 500 nanus and addresses a simple random sample of 100 names is selected without replacement and 25 wrong addresses were found. Estimate the toted number of addresses needing correction in the list and also estimate the standard error of the estimator. 2. A random sample of 170 boys from 8502 boys in an area showed that 21 had some nutritional deficiency. Estimate tin proportion of nutritionally deficient boys and the standard error of your estimator. A random sample of 185 girls from 9248 girls in the same area showed that 19 had some nutritional deficiency. Estimate the difference in the proportions of nutritional deficient boys and girls, and its standard error. 3. By complete enumeration of 430 units, it was found that the mean was 19 and the variance was 85.6. With With simple random sampling with replacement, how many units must be taken to estimate the population mean with 10% margin of error and 95% confidence coefficient?

Explanation / Answer

3)

using margin of error = 0.10

confidence interval 95% alpha / 2 = 0.025 Z= 1.96

sigma = srqt ( 85.6) = 9.25

using formula of hypothesis test

n = ( 9.25 * 1.96 / 0.10 ) ^2

n = 32869.89

n = 32870

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